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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.28310 |
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| _version_ | 1866917542212141056 |
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| author | Segal, Dan |
| author_facet | Segal, Dan |
| contents | The Profinite Isomorphism Problem for a class of groups \mathcal{C} asks for an algorithm that decides for any two groups in \mathcal{C} whether they have isomorphic profinite completions. We present the positive solution to this problem for the class of virtually polycyclic groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28310 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Polycyclic groups and profinite isomorphism Segal, Dan Group Theory 20E18, 20F10 The Profinite Isomorphism Problem for a class of groups \mathcal{C} asks for an algorithm that decides for any two groups in \mathcal{C} whether they have isomorphic profinite completions. We present the positive solution to this problem for the class of virtually polycyclic groups. |
| title | Polycyclic groups and profinite isomorphism |
| topic | Group Theory 20E18, 20F10 |
| url | https://arxiv.org/abs/2605.28310 |